Competitive features? Like a spectator eSports casting/overlay? Or competitive oriented playlists/rankings? I don't think anything like a spectator mode has been announced or even hinted (could be wrong), but I'd be pleasantly surprised if something like that came along. As far as how the playlists will go as far as rankings and whatnot, there is a clan system on the Bungie.net but I haven't looked much into it or heard whether or not there will be rankings with them. After digging around for a bit there's some hints at some form of performance based matchmaking. During a weekly news update on the Bungie.net website, some Q&A featured this:
My one concern or the biggest question is how gear will affect the gameplay. The beta, aside from the Iron Banner mode, restricts and levels out every player's gear. However the Iron Banner removes those restrictions and allows the player's stats to come into play; Armor, Weapon bonuses, etc. were noticeable (in my opinion) when playing against level 5 opponents as a level 8. Not to mention certain attributes each class has, which some people will speculate this class is superior in multiplayer to another. Also the playlists seem to be limited to 3v3, 6v6, and of course FFA.
Overall I can see it as a competitive title. They claim to be support the Destiny (franchise?) name for 10 years. I believe they'll listen and look at what people are saying about the multiplayer, and try to adjust it for longevity or popularity.
Edit: They just announced this on social media as well: "See the latest on Destiny's competitive multiplayer at the PlayStationPress Conference from Gamescom. Tune in on August 12th at 11am PST!"
(Didn't put too much into fact checking some of this so take it with a grain of salt. I'm not all knowing, just googled some things and threw in an opinion/guess here and there.)